206192640 has 120 divisors (see below), whose sum is σ = 660582720. Its totient is φ = 54919168.

The previous prime is 206192629. The next prime is 206192641. The reversal of 206192640 is 46291602.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 206192598 and 206192607.

It is not an unprimeable number, because it can be changed into a prime (206192641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245341 + ... + 246179.

It is an arithmetic number, because the mean of its divisors is an integer number (5504856).

Almost surely, 2^206192640 is an apocalyptic number.

206192640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330291360).

206192640 is an abundant number, since it is smaller than the sum of its proper divisors (454390080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206192640 is an frugal number, since it uses more digits than its factorization.

206192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 206192640 is about 14359.4094586094. The cubic root of 206192640 is about 590.7780981575.

The spelling of 206192640 in words is "two hundred six million, one hundred ninety-two thousand, six hundred forty".